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Finding the Fourth Proportional to 32,624.94, 48,935.88 and 11,564.65

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Solution

The fourth proportional to 32,624.94, 48,935.88 and 11,564.65 is: 17,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,624.94 : 48,935.88 = 11,564.65 : x
  2. Step 2: Convert to fraction form
    32,624.94/48,935.88 = 11,564.65/x
  3. Step 3: Cross multiply
    32,624.94x = 48,935.88 × 11,564.65
  4. Step 4: Simplify right side
    32,624.94x = 565,926,202.30
  5. Step 5: Solve for x
    x = 565,926,202.30/32,624.94
  6. Step 6: Final answer
    x = 17,346.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.